Results 11 to 20 of about 12,508,597 (366)
Jack–Laurent symmetric functions [PDF]
Proceedings of the London Mathematical Society, 2015 We develop the general theory of Jack-Laurent symmetric functions, which are certain generalisations of the Jack symmetric functions, depending on an additional parameter p_0.
Sergeev, A. N., Veselov, A. P.
openaire +5 more sources
The Newton polytope and Lorentzian property of chromatic symmetric functions [PDF]
Selecta Mathematica, 2022 Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are related to Hessenberg varieties and diagonal harmonics. Motivated by the Stanley–Stembridge conjecture, we show
Jacob P. Matherne +2 more
semanticscholar +1 more source
Colored fermionic vertex models and symmetric functions [PDF]
Communications of the American Mathematical Society, 2021 In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie superalgebra $U_q \big( \widehat{\mathfrak{sl}} (1 | n) \big)$. We establish
A. Aggarwal, A. Borodin, M. Wheeler
semanticscholar +1 more source
Chromatic symmetric functions of Dyck paths and q-rook theory [PDF]
European journal of combinatorics (Print), 2020 The chromatic symmetric function (CSF) of Dyck paths of Stanley and its Shareshian--Wachs $q$-analogue have important connections to Hessenberg varieties, diagonal harmonics, and LLT polynomials.
L. Colmenarejo, A. Morales, G. Panova
semanticscholar +1 more source
Chromatic symmetric functions from the modular law [PDF]
Journal of Combinatorial Theory, 2020 In this article we show how to compute the chromatic quasisymmetric function of indifference graphs from the modular law introduced by Guay-Paquet. We provide an algorithm which works for any function that satisfies this law, such as unicellular LLT ...
Alex Abreu, Antonio Nigro
semanticscholar +1 more source
A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions [PDF]
, 2020 We give a new characterization of the vertical-strip LLT polynomials $\mathrm{LLT}_P(x;q)$ as the unique family of symmetric functions that satisfy certain combinatorial relations.
P. Alexandersson, Robin Sulzgruber
semanticscholar +1 more source
Extended chromatic symmetric functions and equality of ribbon Schur functions [PDF]
Advances in Applied Mathematics, 2020 We prove a general inclusion-exclusion relation for the extended chromatic symmetric function of a weighted graph, which specializes to (extended) $k$-deletion, and we give two methods to obtain numerous new bases from weighted graphs for the algebra of ...
F. Aliniaeifard +2 more
semanticscholar +1 more source
Immaculate basis of the non-commutative symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric ...
Chris Berg +4 more
doaj +1 more source
Universal approximation of symmetric and anti-symmetric functions [PDF]
Communications in Mathematical Sciences, 2019 We consider universal approximations of symmetric and anti-symmetric functions, which are important for applications in quantum physics, as well as other scientific and engineering computations. We give constructive approximations with explicit bounds on
Jiequn Han +5 more
semanticscholar +1 more source
Positivity of Chromatic Symmetric Functions Associated with Hessenberg Functions of Bounce Number 3 [PDF]
Electronic Journal of Combinatorics, 2019 We give a proof of the Stanley-Stembridge conjecture on chromatic symmetric functions for the class of all unit interval graphs with independence number 3.
Soojin Cho, Jaehyun Hong
semanticscholar +1 more source